[(12a^4b^2)^-3]= eching

$$[ ( 12 a ^ { 4 } b ^ { 2 } ) ^ { - 3 } ] =$$

Baholash

$$\frac{1}{1728b^{6}a^{12}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(12a^{4}b^{2}\right)^{-3}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$12^{-3}\left(a^{4}\right)^{-3}\left(b^{2}\right)^{-3}$$

12 ni -3 daraja ko'rsatgichiga oshirish.

$$\frac{1}{1728}\left(a^{4}\right)^{-3}\left(b^{2}\right)^{-3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$\frac{1}{1728}a^{4\left(-3\right)}b^{2\left(-3\right)}$$

4 ni -3 marotabaga ko'paytirish.

$$\frac{1}{1728}\times \frac{1}{a^{12}}b^{2\left(-3\right)}$$

2 ni -3 marotabaga ko'paytirish.

$$\frac{1}{1728}\times \frac{1}{a^{12}}\times \frac{1}{b^{6}}$$

Kengaytirish

$$\frac{1}{1728b^{6}a^{12}}$$

Yechim qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(12a^{4}b^{2}\right)^{-3}$$

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

$$12^{-3}\left(a^{4}\right)^{-3}\left(b^{2}\right)^{-3}$$

12 ni -3 daraja ko'rsatgichiga oshirish.

$$\frac{1}{1728}\left(a^{4}\right)^{-3}\left(b^{2}\right)^{-3}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$\frac{1}{1728}a^{4\left(-3\right)}b^{2\left(-3\right)}$$

4 ni -3 marotabaga ko'paytirish.

$$\frac{1}{1728}\times \frac{1}{a^{12}}b^{2\left(-3\right)}$$

2 ni -3 marotabaga ko'paytirish.

$$\frac{1}{1728}\times \frac{1}{a^{12}}\times \frac{1}{b^{6}}$$